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Finding the Fourth Proportional to 252.91, 379.41 and 192.79

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Solution

The fourth proportional to 252.91, 379.41 and 192.79 is: 289.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.91 : 379.41 = 192.79 : x
  2. Step 2: Convert to fraction form
    252.91/379.41 = 192.79/x
  3. Step 3: Cross multiply
    252.91x = 379.41 × 192.79
  4. Step 4: Simplify right side
    252.91x = 73,146.45
  5. Step 5: Solve for x
    x = 73,146.45/252.91
  6. Step 6: Final answer
    x = 289.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.